SOLUTION: A particle moves in a straight line so that t seconds its distance from the starting point is s metres,where s=2t +sin4t.determine the time between t=O and {{{t=2pi}}} for which it

Question 1055903: A particle moves in a straight line so that t seconds its distance from the starting point is s metres,where s=2t +sin4t.determine the time between t=O and for which its velocity is zero
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
A particle moves in a straight line so that t seconds its distance from the starting point is s metres,where s=2t +sin4t.determine the time between t=O and for which its velocity is zero
----------
s= 2t + sin(4t)
v = 1st derivative of displacement.
s' = 2 + 4cos(4t) = 0
cos(4t) = -1/2
4t = 2pi/3, 8pi/3, 14pi/3, 20pi/3
t = pi/6, 2pi/3, 7pi/6, 5pi,3
----
4t = 4pi/3, 10pi/3, 16pi/3, 22pi/3
t = pi/3, 5pi/6, 4pi/3, 11pi/6

RELATED QUESTIONS
A particle moves in straight line so that t seconds its distance from the starting point... (answered by Alan3354)

A particle moves in a straight line so that its velocity v m/s is given by v=9-t^2,where... (answered by ikleyn)

A particle moves in a straight line so that its velocity v m/s is given by v=9-t^2,where (answered by ikleyn)

A particle moves in a straight line so that its distance, s m, from a fixed point A on... (answered by Fombitz)

A particle moves in a straight line with velocity v(t)=r00t(3t-1)metres per second where... (answered by math_tutor2020)

A particle moves in a straight line with velocity v(t)=root(3t-1) metres per second where (answered by math_tutor2020)

A particle moving in a straight line has initial velocity of 2 m/s at a point O on the... (answered by Shin123,ikleyn)

A particle moves in a straight line so that its distance, s m, from a fixed point A on... (answered by Alan3354)

Can you help me solve this application? A particle moves along a straight line... (answered by Edwin McCravy)